# Sharing

From Encyclopedia of Mathematics

*imputation (in the theory of games)*

A distribution of the overall gain of all players in a cooperative game which satisfies the rationality condition. Formally, if for a game with a set of players a characteristic function is defined, a sharing is a vector such that ; , .

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#### References

[a1] | A. Rapoport, "-person game theory: Concepts and applications" , Univ. Michigan Press (1970) pp. 92; 97–100 |

**How to Cite This Entry:**

Sharing.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Sharing&oldid=19146

This article was adapted from an original article by G.N. Dyubin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article